TL;DR
This paper reviews the physical, mathematical, and numerical aspects of the 2-D driven cavity flow problem, highlighting the discrepancy between 2-D numerical solutions and the inherently three-dimensional nature of high Reynolds number flows.
Contribution
It provides a detailed discussion and literature survey on driven cavity flow, emphasizing the limitations of 2-D models at high Reynolds numbers.
Findings
Flow in driven cavity is three-dimensional at high Reynolds numbers
Numerical solutions often assume two-dimensional flow despite physical three-dimensionality
Literature survey on studies of driven cavity flow
Abstract
The widely studied benchmark problem, 2-D driven cavity flow problem is discussed in details in terms of physical and mathematical and also numerical aspects. A very brief literature survey on studies on the driven cavity flow is given. Based on the several numerical and experimental studies, the fact of the matter is, above moderate Reynolds numbers physically the flow in a driven cavity is not two-dimensional. However there exist numerical solutions for 2-D driven cavity flow at high Reynolds numbers.
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